The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%. between station a and station b, which are 260260 ft apart, the tracks rise 7 and one half7 1 2 ft. what is the grade of the tracks between these two stations? round the answer to the nearest tenth of a percent. does this grade meet the rapid-transit rail standards? the grade of the tracks between station a and station b is nothing%. (type an integer or decimal rounded to the nearest tenth as needed.)

2.9%

Step-by-step explanation:

The problem says the stations are 260 feet apart.  Assuming that this is the horizontal distance between them, then the grade is:

7.5 / 260 × 100% = 2.9%

This is less than the maximum of 3.5%, so it meets the standards.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: